GCD of 734, 682, 16, 951 Calculator

Given Input numbers are 734, 682, 16, 951

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 734, 682, 16, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 682, 16, 951 is 1.

Therefore, GCD of numbers 734, 682, 16, 951 is 1

Given Input Data is 734, 682, 16, 951

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 734 is 2 x 367

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 951 is 3 x 317

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(734, 682) = 250294

GCD(734, 682) = ( 734 x 682 ) / 250294

GCD(734, 682) = 500588 / 250294

GCD(734, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 951

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 951) = 1902

GCD(2, 951) = ( 2 x 951 ) / 1902

GCD(2, 951) = 1902 / 1902

GCD(2, 951) = 1

GCD of 734, 682, 16, 951 is 1

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1. What is the GCD of 734, 682, 16, 951?

GCD of 734, 682, 16, 951 is 1

2. Where do I get the detailed procedure to find GCD of 734, 682, 16, 951?

You can find a detailed procedure to find GCD of 734, 682, 16, 951 on our page.

3. How to find GCD of 734, 682, 16, 951 on a calculator?

You can find the GCD of 734, 682, 16, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.